MATH237 Midterm: Midterm_1_Package_F11_v4.docx

• School: University of Waterloo
• Department: Mathematics
• Course: MATH237
• Professor: Diana Parry

Document Summary

Permutation arranger objects ndistinct objects n! (n r)! n(r) = P ( a b)=p ( a ) p ( b)if a b areindependent. P ( a b)=0 if a b are mutually exclusive. P ( a b )= p ( a b) P ( a b c )=p ( a ) p ( b a ) p (c a b ) Probability is defined in three ways: classical definition number of waysthe event canoccur number of all outcomes sample space (provided all points in samples space are equally likely) (i. e. we know the probability from the formula) Limitation cannot repeat an experiment indefinitely: subjective probability a measure of how sure the statement maker is that the event will occur. (i. e. we know the probability from estimation) Define a probability model which consists of: a sample space of all possible outcomes of a random experiment a set of events probabilities.